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Finding the Third Proportional to 174,931 and 362,310

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Solution

The third proportional to 174,931 and 362,310 is: 750,401.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,931 : 362,310 = 362,310 : x
  2. Step 2: Convert to fraction form
    174,931/362,310 = 362,310/x
  3. Step 3: Cross multiply
    174,931x = 362,310 × 362,310
  4. Step 4: Simplify right side
    174,931x = 131,268,536,100
  5. Step 5: Solve for x
    x = 131,268,536,100/174,931
  6. Step 6: Final answer
    x = 750,401.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.